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Popular Calculus >

integral of (3x^2-3)

Solution

\int (3 x^{2} - 3) d x

Solution

x^{3} - 3 x + C

Solution steps

\int 3 x^{2} - 3 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x^{2} d x - \int 3 d x

\int 3 x^{2} d x = x^{3}

\int 3 d x = 3 x

= x^{3} - 3 x

Add a constant to the solution

= x^{3} - 3 x + C

Graph

Popular Examples

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\int (- x + 1) d x

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\int lo g_{10} (x^{2} + 1) d x

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\int \frac{( x ^{2} - x + 2 )}{x ^{3} - 1} d x

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\int \frac{2 x + 2}{( x - 1 ) ( x ^{2} + 1 )} d x

integral of (ln(arctan(x)))/(1+x^2)

\int \frac{ln ( arctan ( x ) )}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x^2-3) ?
The integral of (3x^2-3) is x^3-3x+C